Finding the Fourth Proportional to 2,657.64, 3,667.36 and 1,478.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,657.64 : 3,667.36 = 1,478.76 : x
2. Step 2: Convert to fraction form
   2,657.64/3,667.36 = 1,478.76/x
3. Step 3: Cross multiply
   2,657.64x = 3,667.36 × 1,478.76
4. Step 4: Simplify right side
   2,657.64x = 5,423,145.27
5. Step 5: Solve for x
   x = 5,423,145.27/2,657.64
6. Step 6: Final answer
   x = 2,040.59